Search a number
-
+
445133331544 = 231121111941357
BaseRepresentation
bin1100111101001000000…
…00111001110001011000
31120112222002220011112211
412132210000321301120
524243113113102134
6540254052044504
744105550613666
oct6364400716130
91515862804484
10445133331544
11161864185400
127232a303734
1332c8c063495
141778a41bc36
15b8a3dc2764
hex67a4039c58

445133331544 has 48 divisors (see below), whose sum is σ = 917502415200. Its totient is φ = 202310243520.

The previous prime is 445133331529. The next prime is 445133331563.

445133331544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445133331497 and 445133331506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10742514 + ... + 10783870.

It is an arithmetic number, because the mean of its divisors is an integer number (19114633650).

Almost surely, 2445133331544 is an apocalyptic number.

445133331544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445133331544 is an abundant number, since it is smaller than the sum of its proper divisors (472369083656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

445133331544 is a wasteful number, since it uses less digits than its factorization.

445133331544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52504 (or 52489 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

It can be divided in two parts, 445133 and 331544, that added together give a palindrome (776677).

The spelling of 445133331544 in words is "four hundred forty-five billion, one hundred thirty-three million, three hundred thirty-one thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 11119 22238 41357 44476 82714 88952 122309 165428 244618 330856 454927 489236 909854 978472 1345399 1819708 2690798 3639416 5004197 5381596 10008394 10763192 20016788 40033576 459848483 919696966 1839393932 3678787864 5058333313 10116666626 20233333252 40466666504 55641666443 111283332886 222566665772 445133331544